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Non-local transport properties of a sextuple quantum dot system in the co-tunneling regime

Norrman Brange, Fredrik LU (2014) PHYM01 20141
Mathematical Physics
Department of Physics
Abstract
Quantum entanglement between electrons in nanostructures is a key concept of quantum information still waiting to be experimentally demonstrated. In this master's thesis we present and analyze the full counting statistics of the charge transfer of a sextuple quantum dot system which works as both entangler and detector of spatially separated electrons. Under certain resonance conditions the system operates in the co-tunneling regime, limiting environment-induced decoherence. By means of a generalized Schrieffer-Wolff transformation the co-tunneling dynamics are obtained from an effective Hamiltonian. Based on these results, a master equation is derived for the reduced density operator of the open sextuple dot system and used to compute the... (More)
Quantum entanglement between electrons in nanostructures is a key concept of quantum information still waiting to be experimentally demonstrated. In this master's thesis we present and analyze the full counting statistics of the charge transfer of a sextuple quantum dot system which works as both entangler and detector of spatially separated electrons. Under certain resonance conditions the system operates in the co-tunneling regime, limiting environment-induced decoherence. By means of a generalized Schrieffer-Wolff transformation the co-tunneling dynamics are obtained from an effective Hamiltonian. Based on these results, a master equation is derived for the reduced density operator of the open sextuple dot system and used to compute the full counting statistics. We find that the system displays quantum coherent non-local transport properties and violates Bell's inequality. Consequently, the sextuple dot system could potentially be used to experimentally demonstrate entanglement between electrons as intended. (Less)
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author
Norrman Brange, Fredrik LU
supervisor
organization
course
PHYM01 20141
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Quantum mechanics, Quantum entanglement, Bell's inequality, Nonlocal effects, Schrieffer-Wolff transformation, Full counting statistics
language
English
id
4537292
date added to LUP
2015-04-30 11:19:24
date last changed
2015-07-01 04:38:56
@misc{4537292,
  abstract     = {Quantum entanglement between electrons in nanostructures is a key concept of quantum information still waiting to be experimentally demonstrated. In this master's thesis we present and analyze the full counting statistics of the charge transfer of a sextuple quantum dot system which works as both entangler and detector of spatially separated electrons. Under certain resonance conditions the system operates in the co-tunneling regime, limiting environment-induced decoherence. By means of a generalized Schrieffer-Wolff transformation the co-tunneling dynamics are obtained from an effective Hamiltonian. Based on these results, a master equation is derived for the reduced density operator of the open sextuple dot system and used to compute the full counting statistics. We find that the system displays quantum coherent non-local transport properties and violates Bell's inequality. Consequently, the sextuple dot system could potentially be used to experimentally demonstrate entanglement between electrons as intended.},
  author       = {Norrman Brange, Fredrik},
  keyword      = {Quantum mechanics,Quantum entanglement,Bell's inequality,Nonlocal effects,Schrieffer-Wolff transformation,Full counting statistics},
  language     = {eng},
  note         = {Student Paper},
  title        = {Non-local transport properties of a sextuple quantum dot system in the co-tunneling regime},
  year         = {2014},
}